Title :
Convergence properties of the Newton-Raphson method for nonlinear problems
Author :
Janicke, Lutz ; Kost, Arnulf
Author_Institution :
Lehrstuhl Allgemeine Elektrotech., Brandenburgische Technische Univ. Cottbus, Germany
fDate :
9/1/1998 12:00:00 AM
Abstract :
In order to solve the nonlinear equation system arising when solving magnetic fields with the finite element method, very often the Newton-Raphson method is applied. Sometimes it is advantageous or necessary to apply relaxation factors in order to improve the convergence. In this paper reasons and workarounds for the convergence problem are discussed
Keywords :
Newton-Raphson method; convergence of numerical methods; magnetic fields; magnetostatics; nonlinear equations; FEM; Newton-Raphson method; convergence properties; finite element method; magnetic fields; nonlinear equation system; nonlinear problems; relaxation factors; Convergence; Finite element methods; Magnetic anisotropy; Magnetic fields; Magnetic flux; Magnetic materials; Magnetostatics; Newton method; Nonlinear equations; Perpendicular magnetic anisotropy;
Journal_Title :
Magnetics, IEEE Transactions on
